A uniform cylinder | RIGID BODY DYNAMICS | JEE MAIN 2020

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JEE MAIN 2020

02-09-20 S1

Question

A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at its centre ‘O’ perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of F required is

Select the correct option:

A

$M g \sqrt{1-\left(\frac{R-a}{R}\right)^2}$

B

$M g \sqrt{\left(\frac{R}{R-a}\right)^2-1}$

C

$M g \sqrt{1-\frac{a^2}{R^2}}$

D

$M g \frac{a}{R}$

✓ Correct! Well done.

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Solution

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